Morneau won the 2006 American League MVP award with the Twins, but his last few seasons in Minnesota were marked by his battle with the aftereffects of a concussion. He is eligible for free agency after this season.

The Twins have shown little interest in resigning him, believing the price tag is too steep, according to a person with direct knowledge of the team's plans. The person spoke on the condition of anonymity because of the sensitivity of the deal.

Morneau has nine of his 17 homers this month and is moving to a more hitter-friendly home stadium in PNC Park. Friday night at Texas, Morneau hit career homer 221 to pass Tony Oliva and moved into sole possession of third on the Twins' all-time list (since 1961).

Morneau, 32, has spent his entire career until now in the Twins organization. He was selected in the third round of the 1999 draft.

The Twins are getting outfielder Alex Presley and either cash or a player to be named later, according to a release from the team. Presley, 28, played in 29 games in the majors, hitting .264. He was most recently in AAA Louisville, hitting .298.